Mathematics 8 Rewriting Linear Equations PDF

**SANDINGAN NATIONAL HIGH SCHOOL** Loon North District L O O N MATHEMATICS 8 ============= Name: [ ] Grade Level: \_\_\_ [ ] Section: [ ] Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_ [ ] Learning Activity Sheet 4 **[Rewriting Linear Equations in Two Variables Ax+ By = C in the form y= mx + b and vice v...

**SANDINGAN NATIONAL HIGH SCHOOL** Loon North District L O O N MATHEMATICS 8 ============= Name: [ ] Grade Level: \_\_\_ [ ] Section: [ ] Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_ [ ] Learning Activity Sheet 4 **[Rewriting Linear Equations in Two Variables Ax+ By = C in the form y= mx + b and vice versa]** **Background Information for Learners** **This activity sheet serves as a self-learning guide for the learners. It facilitates lesson comprehension as it specifically aims students mastery on rewriting linear equations in two variables Ax + By = C in the form y = mx + b.** **The process of rewriting linear equations in two variables Ax + By = C in the form y = mx + b can be done by solving y in terms of x.** **While, the process of rewriting linear equations in two variables, y = mx + b in the form Ax + By = C can be done by applying the different properties of real numbers and equations of Ax and By on the left- side of the equation and equate it to the constant term C on the right side.** **Take note, A and B must not be a fraction and A must be positive.** **Illustrative Examples:** **1. 3x - 2y=4** **-2y = -3x+4 Solve y in terms of x** [\$\\mathbf{-}\\frac{\\mathbf{1}}{\\mathbf{2}}\\left( \\mathbf{- 2}\\mathbf{y = \\ - 3}\\mathbf{x + 4} \\right)\\mathbf{-}\\frac{\\mathbf{1}}{\\mathbf{2}}\$]{.math.inline} **Apply MPE** [\$\\mathbf{y =}\\frac{\\mathbf{3}}{\\mathbf{2}}\\mathbf{x - 2}\$]{.math.inline} **Simplify** **2. y = 5x + 6** **-5x + y = 6 Sum of Ax and By on the left- hand side of the equation and equate it to** **-1( -5x + y = 6 ) -1 Apply MPE** **5x + y = 6 Simplify** #### #### **[Activity]** **Ax + By = C** **y = mx + b** **Slope** **y-intercept (b)** ------------------------ ----------------- ---------------- ----------- --------------------- 1. 4x -- y = 9 2. 8x + 2y = -5 3. 5x + 3y = - 4 4. y = -7x + 4 5. y = 4x -- 7 6. y = - 7x + 3 7\. 2y -- 4 = - 3x 8\. 5 + 3y = -4x 9\. 5 -- 2x + y = 0 10\. 3 -- 6y -- 3x = 2 A. **Directions: Rewrite each linear equation into the required form.** B. **Directions: Rewrite each linear equation into the other form.** **Ax + By = C** **y = mx + b** **A** **B** **C** -------------------- -------------------------------- ------- ------- ------- 1\. x -- 3y = 6 2\. 2x + 2y = - 10 3\. 5x -- y = 11 4\. 3x + 6y = 12 5\. 3 -- 4x + y =0 6. y = -5x + 2 7. y = 2x -- 3 8. y = 4x -  9. y = - 7x + 6 10. y = - 3x -